Authentication email has already been sent, please check your email box: and activate it as soon as possible.
You can login to My Profile and manage your email alerts.
If you haven’t received the email, please:
|
|
There are 12 papers published in subject: > since this site started. |
Select Subject |
Select/Unselect all | For Selected Papers |
Saved Papers
Please enter a name for this paper to be shown in your personalized Saved Papers list
|
1. Differential Harnack estimates for $r$-positive $(p, p)$-forms on Kähler manifolds | |||
Niu Yan-yan | |||
Mathematics 03 January 2017 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:In this paper, we study the $(p, p)$-form solution to the Hodge Laplacian heat equation on a Kähler manifold. After establishing the preservation of $r$-positivity of such solution under some invariant curvature condition, %that the $r$-positivity of a $(p, p)$-form solution is preserved under some %invariant curvature condition, we prove a differential Harnack estimate (in the sense of Li-Yau-Hamilton) for the $r$-positive solutions of the Hodge Laplacian heat equation. We also prove a nonlinear version coupled with the Kähler-Ricci flow. | |||
TO cite this article:Niu Yan-yan. Differential Harnack estimates for $r$-positive $(p, p)$-forms on Kähler manifolds[OL].[ 3 January 2017] http://en.paper.edu.cn/en_releasepaper/content/4716395 |
2. Submanifolds of Cartan-Hartogs Domains and Complex Euclidean Spaces | |||
Cheng Xiao-Liang,Niu Yan-Yan | |||
Mathematics 03 January 2017 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:In this paper, we study the non-existence of common submanifolds of a complex Euclidean space and a Cartan-Hartogs domain equipped with their canonical metrics. | |||
TO cite this article:Cheng Xiao-Liang,Niu Yan-Yan. Submanifolds of Cartan-Hartogs Domains and Complex Euclidean Spaces[J]. |
3. Uniqueness Theorem for p-adic Holomorphic Curves intersecting Hyperplanes without Counting Multiplicities | |||
Yan Qiming | |||
Mathematics 29 December 2012 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:In this paper, a uniqueness theorem is proved for p-adic holomorphic curves into Pn(Cp) sharing 2n+2 hyperplanes located in general position withoutcounting multiplicities, which gives an improvement of Ru's result for 3n+1 hyperplanes located in general position . | |||
TO cite this article:Yan Qiming. Uniqueness Theorem for p-adic Holomorphic Curves intersecting Hyperplanes without Counting Multiplicities[OL].[29 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4502887 |
4. A Note on the Essential Norm of Composition Operators from $H^p(B_N)$ to $H^q(B_N)$ | |||
Chen Zhihua,Jiang Liangying,Yan Qiming | |||
Mathematics 11 December 2012 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:The authors give an upper bound of the essential normsof composition operators between Hardy spaces of the unit ball interms of the counting function in the higher dimensional valuedistribution theory defined by Professor S. S. Chern. The sufficientcondition for such operators to be bounded or compact is alsogiven. | |||
TO cite this article:Chen Zhihua,Jiang Liangying,Yan Qiming. A Note on the Essential Norm of Composition Operators from $H^p(B_N)$ to $H^q(B_N)$[OL].[11 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4502727 |
5. Divergent Birkhoff normal forms of real analytic complex area preserving maps | |||
YIN Wanke | |||
Mathematics 07 December 2012 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:In this paper, we provide a real analytic and complexvalued area preserving map, that possesses a divergent Birkhoffnormal form near an elliptic fixed point. The method uses the smalldivisor theory and the work of Gong in the study of the Halmitoniansystem. | |||
TO cite this article:YIN Wanke. Divergent Birkhoff normal forms of real analytic complex area preserving maps[OL].[ 7 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4501812 |
6. On the Third Gap for Proper Holomorphic Maps between Balls | |||
HUANG Xiaojun,JI Shanyu,YIN Wanke | |||
Mathematics 07 December 2012 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:In this paper, we study the gap rigidity phenomenon for proper holomorphic maps between balls of different dimension. We show that any F∈prop3(B n,B N), with 3n<N≤4n-7 and n≥7, is equivalent to a map of the form (G,0) with G∈Rat(B n,B 3n). The main ingredients for the proof of our main theorem are the normal form obtained by Huang-Ji-Xu and a lemma of the first author. | |||
TO cite this article:HUANG Xiaojun,JI Shanyu,YIN Wanke. On the Third Gap for Proper Holomorphic Maps between Balls[OL].[ 7 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4500337 |
7. DISTORTION THEOREMS FOR BLOCH MAPPINGS ON THE UNIT POLYDISC ${D}^n | |||
wangjianfei ,Liu Taishun,Tang Xiaomin | |||
Mathematics 13 January 2009 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:In this paper, we establish distortion theorems for some various subfamilies of Bloch mappings defined in the unit polydisc $D^n$ with critical points, which extend the results of Liu and Minda to higher dimensions. We obtain lower bounds on $|\\\\det (f\\\ | |||
TO cite this article: wangjianfei ,Liu Taishun,Tang Xiaomin. DISTORTION THEOREMS FOR BLOCH MAPPINGS ON THE UNIT POLYDISC ${D}^n[OL].[13 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27735 |
8. Distortion theorems on the Lie ball RIV(n) in Cn | |||
wangjianfei,Liu Taishun,Xu Huiming | |||
Mathematics 12 January 2009 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:In this paper, we introduce the subfamilies Hm(RIV(n)) of holomorphic mappings defined on the Lie ball RIV(n) which take into consideration the m-order to which the Jacobian determinant must vanish, as well as for the limiting case of locally biholomorphic mappings. Various distortion theorems for holomophic mappings Hm(RIV(n)) are established. The distortion theorems coincide with Liu and Minda as the special case of the unit disk. When m = 1 and m ! +1, the distortion theoerems reduce to the results obtained by Gong for RIV(n), respectively. Moreover, our method is different. As an application, the bounds for Bloch constants of Hm(RIV(n)) are given. | |||
TO cite this article:wangjianfei,Liu Taishun,Xu Huiming. Distortion theorems on the Lie ball RIV(n) in Cn[OL].[12 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27691 |
9. On the solution of Dirichlet’s problem of complex Monge-Amp`ere equation on Cartan-Hartogs domain of the second type | |||
Yin Weiping,Yin Xiaolan | |||
Mathematics 26 May 2008 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:Complex Monge-Amp`ere equation is a nonlinear equation with high degree, therefore to get its solution is very difficult. In present paper how to get the solution of Dirichlet’s problem of Complex Monge-Amp`ere equation on the Cartan-Hartogs domain of the second type is discussed by using the analytic method. Firstly, the complex Monge-Amp`ere equation is reduced to the nonlinear ordinary differential equation, then the solution of the Dirichlet’s problem of complex Monge-Amp`ere equation is reduced to the solution of two point boundary value problem of the nonlinear second-order ordinary differential equation. Secondly, the solution of the Dirichlet’s problem is given in semiexplicit formula, and under the special case the exact solution is obtained. These results may be helpful for the numerical method of Dirichlet’s problem of complex Monge-Amp`ere equation on the Cartan-Hartogs domain. | |||
TO cite this article:Yin Weiping,Yin Xiaolan. On the solution of Dirichlet’s problem of complex Monge-Amp`ere equation on Cartan-Hartogs domain of the second type[OL].[26 May 2008] http://en.paper.edu.cn/en_releasepaper/content/21774 |
10. On the solution of Dirichlet’s problem of complex Monge-Amp`ere equation on Cartan-Hartogs domain of the first type | |||
Yin Weiping,Yin Xiaolan | |||
Mathematics 15 May 2008 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:Complex Monge-Amp`ere equation is a nonlinear equation with high degree, therefore to get its solution is very difficult. In present paper how to get the solution of Dirichlet’s problem of Complex Monge-Amp`ere equation on the Cartan-Hartogs domain of the first type is discussed by using the analytic method. Firstly, the complex Monge-Amp`ere equation is reduced to the nonlinear ordinary differential equation, then the solution of the Dirichlet’s problem of complex Monge-Amp`ere equation is reduced to the solution of two point boundary value problem of the nonlinear second-order ordinary differential equation. Secondly, the solution of the Dirichlet’s problem is given in semiexplicit formula, and under the special case the exact solution is obtained. These results may be helpful for the numerical method of Dirichlet’s problem of complex Monge-Amp`ere equation on the Cartan-Hartogs domain. | |||
TO cite this article:Yin Weiping,Yin Xiaolan. On the solution of Dirichlet’s problem of complex Monge-Amp`ere equation on Cartan-Hartogs domain of the first type[OL].[15 May 2008] http://en.paper.edu.cn/en_releasepaper/content/21446 |
Select/Unselect all | For Selected Papers |
Saved Papers
Please enter a name for this paper to be shown in your personalized Saved Papers list
|
About Sciencepaper Online | Privacy Policy | Terms & Conditions | Contact Us
© 2003-2012 Sciencepaper Online. unless otherwise stated